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Finding the Third Proportional to 286,704 and 455,400

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Solution

The third proportional to 286,704 and 455,400 is: 723,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,704 : 455,400 = 455,400 : x
  2. Step 2: Convert to fraction form
    286,704/455,400 = 455,400/x
  3. Step 3: Cross multiply
    286,704x = 455,400 × 455,400
  4. Step 4: Simplify right side
    286,704x = 207,389,160,000
  5. Step 5: Solve for x
    x = 207,389,160,000/286,704
  6. Step 6: Final answer
    x = 723,356.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.